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arXiv:0902.2839 · Lecture notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering

The Case for Quantum Key Distribution

Douglas Stebila, Michele Mosca, Norbert Lütkenhaus

Published Jan 1, 2010• 78 citations
arXivHTMLPDF
DOI
10.1007/978-3-642-11731-2_35

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In this paper, we introduce the extended mean king's problem and its solutions. Also, we show a quantum key distribution (QKD) using the extended mean king's problem. By using the quantum key distribution, a sender can share a secret key with each of receivers. Besides, we consider the tolerance to an eavesdropper who makes intercept-resend attacks. As a result, in the case of two receivers, we indicate that the quantum key distribution is robust against the intercept-resend attacks by showing that the error occurs between the secret keys of a sender and receivers.
It has previously been shown that quantum state tomography can be used to increase the key rate of quantum key distribution (QKD) for the special case of qubits (i.e.,d=2). Here, we consider the case of higher dimensions, i.e., qudits, and show that, for a prime number d>2, quantum state tomography can also improve the key rate of d-dimensional qudit-based QKD schemes, compared to the standard (d+1)-basis protocol. We apply our results to previous QKD experiments based on OAM (orbital angular momentum) encoding and demonstrate the advantage of tomography-based QKD protocols. Moreover, we compare the key rate of tomography-based QKD protocol with reference-frame-independent QKD protocol. We show that, for a rotation channel, the two protocols give the same key rate. However, for any other channels, tomography-based QKD protocol always gives a higher key rate than reference-frame-independent QKD protocol.
This paper presents an information theoretic secure secret key transfer protocol by Quantum Key Distribution (QKD) in the case of multi-hops quantum links between the two correspondents. We aim to transmit a secret between two parties using existing quantum infrastructure in the case where half of the intermediate routers are evil. We recursively divide the secret into Shamir’s shares, which are transmitted through different routes. This protocol has been successfully verified with ProVerif, which grants the secrecy of the transmitted key. We also propose an on-the-fly route discovery algorithm, in case the network is too large for each node to know all possible routes, and provide a formal verification of this algorithm using Maude.